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OpenStudy (anonymous):
This problem asks you to show that integral : sec x dx = ln sec x + tan x + C: (1) (a) Write sec x as cos x=(1-sin^2x) and make a substitution to simplify the integral. (b) Integrate the resulting rational function by the partial fractions method. (c) Use the identity sin^2x + cos^2x = 1 to show that your result is equal to (1).?
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OpenStudy (raden):
we can multiply secx by (secx+tanx)/(secx+tanx)
OpenStudy (raden):
so, it can be integr (sec^2x+secxtanx)dx/(secx+tanx) next we can use u-subt method for prove it
OpenStudy (anonymous):
how would i do that? can you please break it down for me/
OpenStudy (raden):
ok, look here...|dw:1359062780974:dw|
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